962400 has 72 divisors (see below), whose sum is σ = 3140424. Its totient is φ = 256000.

The previous prime is 962363. The next prime is 962413. The reversal of 962400 is 4269.

It is a plaindrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is an unprimeable number.

962400 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2200 + ... + 2600.

It is an arithmetic number, because the mean of its divisors is an integer number (43617).

2⁹⁶²⁴⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 962400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570212).

962400 is an abundant number, since it is smaller than the sum of its proper divisors (2178024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

962400 is a wasteful number, since it uses less digits than its factorization.

962400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 962400 is about 981.0198774745. The cubic root of 962400 is about 98.7306216315.

Adding to 962400 its reverse (4269), we get a palindrome (966669).

It can be divided in two parts, 96 and 2400, that multiplied together give a square (230400 = 480²).

The spelling of 962400 in words is "nine hundred sixty-two thousand, four hundred".